Q: What are the factor combinations of the number 764,204,485?

 A:
Positive:   1 x 7642044855 x 15284089711 x 6947313517 x 4495320555 x 1389462785 x 8990641187 x 4086655935 x 817331
Negative: -1 x -764204485-5 x -152840897-11 x -69473135-17 x -44953205-55 x -13894627-85 x -8990641-187 x -4086655-935 x -817331


How do I find the factor combinations of the number 764,204,485?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 764,204,485, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 764,204,485
-1 -764,204,485

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 764,204,485.

Example:
1 x 764,204,485 = 764,204,485
and
-1 x -764,204,485 = 764,204,485
Notice both answers equal 764,204,485

With that explanation out of the way, let's continue. Next, we take the number 764,204,485 and divide it by 2:

764,204,485 ÷ 2 = 382,102,242.5

If the quotient is a whole number, then 2 and 382,102,242.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 764,204,485
-1 -764,204,485

Now, we try dividing 764,204,485 by 3:

764,204,485 ÷ 3 = 254,734,828.3333

If the quotient is a whole number, then 3 and 254,734,828.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 764,204,485
-1 -764,204,485

Let's try dividing by 4:

764,204,485 ÷ 4 = 191,051,121.25

If the quotient is a whole number, then 4 and 191,051,121.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 764,204,485
-1 764,204,485
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1511175585187935817,3314,086,6558,990,64113,894,62744,953,20569,473,135152,840,897764,204,485
-1-5-11-17-55-85-187-935-817,331-4,086,655-8,990,641-13,894,627-44,953,205-69,473,135-152,840,897-764,204,485

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